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Finding the Fourth Proportional to 5,292.77, 7,938.48 and 1,782.23

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Solution

The fourth proportional to 5,292.77, 7,938.48 and 1,782.23 is: 2,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.77 : 7,938.48 = 1,782.23 : x
  2. Step 2: Convert to fraction form
    5,292.77/7,938.48 = 1,782.23/x
  3. Step 3: Cross multiply
    5,292.77x = 7,938.48 × 1,782.23
  4. Step 4: Simplify right side
    5,292.77x = 14,148,197.21
  5. Step 5: Solve for x
    x = 14,148,197.21/5,292.77
  6. Step 6: Final answer
    x = 2,673.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.